The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions

doi:10.1142/S0217984921504832

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	The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions
	Weng, Weifang ; Yan, Zhenya 1
	2021-11-20
发表期刊	MODERN PHYSICS LETTERS B
ISSN	0217-9849
卷号	35 期号:32 页码:24
摘要	In this paper, the general triple-pole multi-soliton solutions are proposed for the focusing modified Korteweg-de Vries (mKdV) equation with both nonzero boundary conditions (NZBCs) and triple zeros of analytical scattering coefficients by means of the inverse scattering transform. Furthermore, we also give the corresponding trace formulae and theta conditions. Particularly, we analyze some representative reflectionless potentials containing the triple-pole multi-dark-anti-dark solitons and breathers. The idea can also be extended to the whole mKdV hierarchy (e.g. the fifth-order mKdV equation, and third-fifth-order mKdV equation) with NZBCs and triple zeros of analytical scattering coefficients. Moreover, these obtained triple-pole solutions can also be degenerated to the triple-pole soliton solutions with zero boundary conditions.
关键词	Modified KdV hierarchy nonzero boundary conditions Riemann-Hilbert problem multi-triple-pole solitons and breathers
DOI	10.1142/S0217984921504832
收录类别	SCI
语种	英语
资助项目	NSFC[11925108] ; NSFC[11731014]
WOS研究方向	Physics
WOS类目	Physics, Applied ; Physics, Condensed Matter ; Physics, Mathematical
WOS记录号	WOS:000713305600006
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59499
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Weng, Weifang,Yan, Zhenya. The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions[J]. MODERN PHYSICS LETTERS B,2021,35(32):24.
APA	Weng, Weifang,&Yan, Zhenya.(2021).The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions.MODERN PHYSICS LETTERS B,35(32),24.
MLA	Weng, Weifang,et al."The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions".MODERN PHYSICS LETTERS B 35.32(2021):24.